AREA OF POLYGONS You need: Formula Sheet Scratch Paper Pencil

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Presentation transcript:

AREA OF POLYGONS You need: Formula Sheet Scratch Paper Pencil Calculator

Area of Polygons Area Word Problems Shaded & Combination Regular Polygons 100 200 400 300 500 600

1. 15 mm 32 mm

What is 240mm2? A = ½ (32)(15) 15 mm 32 mm

2. 22 in 6 in 8 in 12 in

What is 102 in2? 22 in A = ½ (6)(22+12) 6 in 8 in 12 in

3. 26 in

What is 169 in2? r = 13 A = 132 26 in

4. 15 ft 24 ft

What is 216 ft2 ? 15 ft A = ½ (18)(24) 12 ft 9 ft 24 ft 12 ft 9 ft

5. 7 cm 6 cm

What is 126 cm2 ? P = 6(7) = 42 A = ½ (42) (6) 7 cm 6 cm

6. The height of a trapezoid is 5cm and the bases are 7cm and 13cm 6. The height of a trapezoid is 5cm and the bases are 7cm and 13cm. Find the area.

What is 50 cm2? The height of a trapezoid is 5cm and the bases are 7cm and 13cm. Find the area. A = ½ (5) (7 + 13)

7. A triangle has an area of 72 mm. If the height is 8mm, find the base.

What is 18mm? A triangle has an area of 72 mm. If the height is 8mm, find the base. A = ½ b h 72 = ½ (8) h 72 = 4 h h = 18

8. Find the area of a regular dodecagon with a side 11 ft and an apothem of 4.5 ft.

What is 297ft2? Find the area of a regular dodecagon with a side 11 ft and an apothem of 4.5 ft. P = 12(11) A = ½ P a P = 132 A = ½ (132) (4.5) A = 297

9. Find the Area of a Rhombus with sides 26cm and a diagonal 48cm long.

What is 480 cm2? 9. Find the Area of a Rhombus with sides 26cm and a diagonal 48cm long. 26 ft A = ½ (48)(20) 10 24 48 cm 10 24

10. Find the area of a Rhombus with perimeter 100m and a diagonal of 30m.

What is 600m2? 10. Find the area of a Rhombus with perimeter 100m and a diagonal of 30 m. 25 ft A = ½ (30)(40) 20 15 30m 20 15

11. 8 km 8 km 18 km 9 km 22 km

What is 324 km2 ? (18)(22) = 396 (8)(9) = 72 396 – 72 8 km 8 km 18 km

14 ft 12. 18 ft

What is 126 cm2 ? (14)(18) = 252 ½ (14)(18) = 126 252 - 126 14 ft

13. 15 in 7 in

What is 176 in2 ? 152 = 225 72 = 49 225 - 49 15 in 7 in

14. 2 in 9 in 10 in 5 in 4 in 3 in 6 in

What is 102 in2 ? (10)(14) = 140 (2)(9) = 18 (4)(5) = 20 140 – 18 – 20

15. 12 m 5 m 4 m 6 m 3 m 9 m

What is 102 m2 ? 12 m 5 m 4 m 6 m 3 m 9 m

16. 8 cm

What is 384 cm2 ? long = short = short 8 short = 8 long Apothem = 8 Perimeter = 6(16) = 96 Area = ½ (96) (8 ) hyp 30 8 cm 60 short 8 16

17. 3 ft

What is 27 ft2 ? long = short 3 = short short = 3 Apothem = 3 Perimeter = 3(6 ) = 18 Area = ½ (18 )(3) hyp 60 short 3 30 long 3 ft 6

18. 24 in

What is 864 in2 ? long = short hyp = 2 * short long = 12 Apothem = 12 Perimeter = 6(24) = 144 Area = ½ (144) (12 ) hyp 30 12 60 short 12 24

19. 15 m

What is 225 m2 ? long = short 15 = short short = 5 Apothem = 5 Perimeter = 3(30) = 90 Area = ½ (90)(5 ) hyp 60 short 5 30 long 15 m 30

20. 8 mi

What is 128 mi2 ? hyp = short 8 = short short = 4 hyp leg 45 8 mi Apothem = 4 Perimeter = 4(8 ) = 32 Area = ½ (32 )(4 ) = 64 * 2 4 45 leg 4 8